Khavinson conjecture for hyperbolic harmonic functions on the unit ball
Adel Khalfallah, Fathi Haggui, Miodrag Mateljevi\'c
TL;DR
This paper proves the Khavinson conjecture for hyperbolic harmonic functions within the unit ball, advancing understanding of harmonic function behavior in hyperbolic spaces.
Contribution
The paper provides a complete proof of the Khavinson conjecture for hyperbolic harmonic functions, building on partial solutions from previous research.
Findings
Confirmed the Khavinson conjecture for hyperbolic harmonic functions
Extended the understanding of harmonic functions in hyperbolic geometry
Resolved a previously open problem in mathematical analysis
Abstract
In this paper, we prove the Khavinson conjecture for hyperbolic harmonic functions on the unit ball. This conjecture was partially solved in \cite{JKM2020}.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAnalytic and geometric function theory · Spectral Theory in Mathematical Physics · Holomorphic and Operator Theory